An Alternative Formulation for Optimum TMD Parameters Based on Equal Eigen Value Criteria

ABSTRACT

Closed form expressions for optimum Tuned Mass Damper (TMD) parameters are obtained by equating Eigen values of two modes and there is no need of any trial and error approach as used in earlier studies. For certain values of damping of main system and mass ratio, two sets of optimum parameters exist. For some other range of damping and mass ratio, modes become fully damped. In this range, optimum TMDs do not exist, and this happens for TMDs with large mass. The optimum TMD is shown to be quite robust and gives lesser TMD displacement as compared to optimum TMDs of earlier studies.

KEYWORDS:

• Optimum Tuned Mass Damper
• Equal Eigen Value
• Equal modal damping
• Equal modal frequency
• Frequency response function
• Fully damped modes

Acknowledgments

Authors are thankful to Dr. G. V. Rao, Senior Structural Analyst, Bengaluru, India, and Dr. Animesh Chatterjee, Professor at VNIT, Nagpur, India, for their useful suggestions during this work.